SOLUTION: What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3,5)?

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Question 1064809: What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3,5)?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have the same slope,
meaning the coefficients of x an y will have the same ratio.
All lines parallel to line -x%2B3y=6
will have equations of the form -x%2B3y=K
If a point with coordinates system%28x=3%2Cy=5%29 is on such a line,
substituting those values I into the equation
will give us the value v of K .
-3%2B3%2A5=K
-3%2B15=K
12=K
The answer is
highlight%28-x%2B3y=12%29